- #1

- 75

- 0

## Homework Statement

A charged paint is spread in a very thin uniform layer over the surface of a plastic sphere of diameter 10.5 cm, giving it a charge of -22.3 µC.

(a) Find the magnitude of the electric field just inside the paint layer.

(b) Find the magnitude of the electric field just outside the paint layer.

(c) Find the magnitude of the electric field 5.00 cm outside the surface of the paint layer.

## Homework Equations

$$E=\frac{q}{4\pi\epsilon_0 r^2}$$

## The Attempt at a Solution

I got (a) correct (E=0), but I'm getting wrong answers for (b) and (c)

For (b), the radius is 0.0525m, so:

$$E = \frac{-22.3\times 10^{-6}}{4\pi (0.1025)^2(8.854\times 10^{-12})} = -7.272\times 10^7$$

For (c), r=0.0525+0.05=0.1025, so:

$$E = \frac{-22.3\times 10^{-6}}{4\pi (0.1025)^2(8.854\times 10^{-12})} = -7.272\times 10^7$$

EDIT: for some reason my latex code isn't displaying properly, so here are pics of my equations:

EDIT 2: fixed it

Last edited: